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Finding the Fourth Proportional to 8,273.64, 11,430.18 and 6,174.12

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Solution

The fourth proportional to 8,273.64, 11,430.18 and 6,174.12 is: 8,529.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,273.64 : 11,430.18 = 6,174.12 : x
  2. Step 2: Convert to fraction form
    8,273.64/11,430.18 = 6,174.12/x
  3. Step 3: Cross multiply
    8,273.64x = 11,430.18 × 6,174.12
  4. Step 4: Simplify right side
    8,273.64x = 70,571,302.94
  5. Step 5: Solve for x
    x = 70,571,302.94/8,273.64
  6. Step 6: Final answer
    x = 8,529.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.